QuestionThis question: 1 point(\$) possible
Of the 94 participants in a drug trial who were given a new experimental treatment for arthritis, 54 showed improvement. Of the 89 participants given a placebo, 46 showed improvement. Construct a two-way table for these data, and then use a 0.05 significance level to test the claim that improvement is independent of whether the participant was given the drug or a placebo.
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Complete the following two-way table. \begin{tabular}{|l|c|} \hline & improvement \\ \hline Drug & $\square$ \\ \hline Placebo & $\square$ \\ \hline \end{tabular} a. State the null and the al A. The null hypothesis The alternative hyp B. The alternative hyThe null hypothesis b. Assuming independenc
Critical values of chi-square \begin{tabular}{|c|c|c|} \hline \multicolumn{3}{|c|}{Critical Values of $\chi^{2}$ : Reject $H_{0}$ Only If $\chi^{2}>$ Critical Value} \\ \hline \multirow[t]{2}{*}{Table size (rows $\times$ columns)} & \multicolumn{2}{|l|}{Significance level} \\ \hline & 0.05 & 0.01 \\ \hline $2 \times 2$ & 3.841 & 6.635 \\ \hline $2 \times 3$ or $3 \times 2$ & 5.991 & 9.210 \\ \hline $3 \times 3$ & 9.488 & 13.277 \\ \hline $2 \times 4$ or $4 \times 2$ & 7.815 & 11.345 \\ \hline $2 \times 5$ or $5 \times 2$ & 9.488 & 13.277 \\ \hline \end{tabular}
Placebo (Round to the nearest hun c. Find the value of the $\chi^{2}$
Print Done $\chi^{2}=$ $\square$ (Round to the ne d. Use the given significance level to find the $\chi^{2}$ critical value.
The critical value is $\square$ . (Round to the nearest thousandth as needed.) e. Using the given significance level, complete the test of the claim that the two variables are independent. State the conclusion that addresses the original claim. Choose the correct answer below. There does not appear to be a relationship between improvement and treatment (drug or placebo).